Question

Find the value of : sin45° cos45° cos60°/ sin60° cos30° tan45°

Answer 1

We have to find the value of sin45° cos45° cos60°/ sin60° cos30° tan45°

solution : we know,

• sin45° = 1/√2
• cos45° = 1/√2
• cos60° = 1/2
• sin60° = √3/2
• cos30° = √3/2
• tan45° = 1

so sin45° cos45° cos60°/ sin60° cos30° tan45°

= {(1/√2)(1/√2)(1/2)}/{(√3/2)(√3/2)(1)}

= {1/2 × 1/2}/{3/4}

= (1/4)/(3/4)

= 1/3

Therefore the value of sin45° cos45° cos60°/ sin60° cos30° tan45° is 1/3.

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Answer 2

Answer:-

We have to find the value of sin45° cos45° cos60°/ sin60° cos30° tan45°

solution :

we know,

sin45° = 1/√2

cos45° = 1/√2

cos60° = 1/2

sin60° = √3/2

cos30° = √3/2

tan45° = 1

so

sin45° cos45° cos60°/ sin60° cos30° tan45°

= {(1/√2)(1/√2)(1/2)}/{(√3/2)(√3/2)(1)}

= {1/2 × 1/2}/{3/4}

= (1/4)/(3/4)

= 1/3

Therefore the value of sin45° cos45° cos60°/ sin60° cos30° tan45° is 1/3.

Hope it's help You❤️